npm install jalali-moment --save

import { DateAdapter } from "@angular/material";
import * as jalaliMoment from "jalali-moment";

export const PERSIAN_DATE_FORMATS = {
  parse: {
    dateInput: "jYYYY/jMM/jDD"
  },
  display: {
    dateInput: "jYYYY/jMM/jDD",
    monthYearLabel: "jYYYY jMMMM",
    dateA11yLabel: "jYYYY/jMM/jDD",
    monthYearA11yLabel: "jYYYY jMMMM"
  }
};

export class MaterialPersianDateAdapter extends DateAdapter<jalaliMoment.Moment> {

  constructor() {
    super();
    super.setLocale("fa");
  }

  getYear(date: jalaliMoment.Moment): number {
    return this.clone(date).jYear();
  }

  getMonth(date: jalaliMoment.Moment): number {
    return this.clone(date).jMonth();
  }

  getDate(date: jalaliMoment.Moment): number {
    return this.clone(date).jDate();
  }

  getDayOfWeek(date: jalaliMoment.Moment): number {
    return this.clone(date).day();
  }

  getMonthNames(style: "long" | "short" | "narrow"): string[] {
    switch (style) {
      case "long":
      case "short":
        return jalaliMoment.localeData("fa").jMonths().slice(0);
      case "narrow":
        return jalaliMoment.localeData("fa").jMonthsShort().slice(0);
    }
  }

  getDateNames(): string[] {
    const valuesArray = Array(31);
    for (let i = 0; i < 31; i++) {
      valuesArray[i] = String(i + 1);
    }
    return valuesArray;
  }

  getDayOfWeekNames(style: "long" | "short" | "narrow"): string[] {
    switch (style) {
      case "long":
        return jalaliMoment.localeData("fa").weekdays().slice(0);
      case "short":
        return jalaliMoment.localeData("fa").weekdaysShort().slice(0);
      case "narrow":
        return ["ی", "د", "س", "چ", "پ", "ج", "ش"];
    }
  }

  getYearName(date: jalaliMoment.Moment): string {
    return this.clone(date).jYear().toString();
  }

  getFirstDayOfWeek(): number {
    return jalaliMoment.localeData("fa").firstDayOfWeek();
  }

  getNumDaysInMonth(date: jalaliMoment.Moment): number {
    return this.clone(date).jDaysInMonth();
  }

  clone(date: jalaliMoment.Moment): jalaliMoment.Moment {
    return date.clone().locale("fa");
  }

  createDate(year: number, month: number, date: number): jalaliMoment.Moment {
    if (month < 0 || month > 11) {
      throw Error(
        `Invalid month index "${month}". Month index has to be between 0 and 11.`
      );
    }
    if (date < 1) {
      throw Error(`Invalid date "${date}". Date has to be greater than 0.`);
    }
    const result = jalaliMoment()
      .jYear(year).jMonth(month).jDate(date)
      .hours(0).minutes(0).seconds(0).milliseconds(0)
      .locale("fa");

    if (this.getMonth(result) !== month) {
      throw Error(`Invalid date ${date} for month with index ${month}.`);
    }
    if (!result.isValid()) {
      throw Error(`Invalid date "${date}" for month with index "${month}".`);
    }
    return result;
  }

  today(): jalaliMoment.Moment {
    return jalaliMoment().locale("fa");
  }

  parse(value: any, parseFormat: string | string[]): jalaliMoment.Moment | null {
    if (value && typeof value === "string") {
      return jalaliMoment(value, parseFormat, "fa");
    }
    return value ? jalaliMoment(value).locale("fa") : null;
  }

  format(date: jalaliMoment.Moment, displayFormat: string): string {
    date = this.clone(date);
    if (!this.isValid(date)) {
      throw Error("JalaliMomentDateAdapter: Cannot format invalid date.");
    }
    return date.format(displayFormat);
  }

  addCalendarYears(date: jalaliMoment.Moment, years: number): jalaliMoment.Moment {
    return this.clone(date).add(years, "jYear");
  }

  addCalendarMonths(date: jalaliMoment.Moment, months: number): jalaliMoment.Moment {
    return this.clone(date).add(months, "jmonth");
  }

  addCalendarDays(date: jalaliMoment.Moment, days: number): jalaliMoment.Moment {
    return this.clone(date).add(days, "jDay");
  }

  toIso8601(date: jalaliMoment.Moment): string {
    return this.clone(date).format();
  }

  isDateInstance(obj: any): boolean {
    return jalaliMoment.isMoment(obj);
  }

  isValid(date: jalaliMoment.Moment): boolean {
    return this.clone(date).isValid();
  }

  invalid(): jalaliMoment.Moment {
    return jalaliMoment.invalid();
  }

  deserialize(value: any): jalaliMoment.Moment | null {
    let date;
    if (value instanceof Date) {
      date = jalaliMoment(value);
    }
    if (typeof value === "string") {
      if (!value) {
        return null;
      }
      date = jalaliMoment(value).locale("fa");
    }
    if (date && this.isValid(date)) {
      return date;
    }
    return super.deserialize(value);
  }
}

import { NgModule } from "@angular/core";
import {  DateAdapter,  MAT_DATE_FORMATS,  MAT_DATE_LOCALE } from "@angular/material";

import { MaterialPersianDateAdapter, PERSIAN_DATE_FORMATS } from "./material.persian-date.adapter";

@NgModule({
  providers: [
    { provide: DateAdapter, useClass: MaterialPersianDateAdapter, deps: [MAT_DATE_LOCALE] },
    { provide: MAT_DATE_FORMATS, useValue: PERSIAN_DATE_FORMATS }
  ]
})
export class MaterialModule {
}

<mat-form-field>
    <input matInput [matDatepicker]="picker6" placeholder="json gregorian input" [(ngModel)]="dateControl">
    <mat-datepicker-toggle matSuffix [for]="picker6"></mat-datepicker-toggle>
    <mat-datepicker #picker6></mat-datepicker>
</mat-form-field>

<mat-form-field>
    <input matInput [matDatepicker]="picker6" placeholder="json gregorian input" [(ngModel)]="dateControl">
    <mat-datepicker-toggle matSuffix [for]="picker6"></mat-datepicker-toggle>
    <mat-datepicker #picker6></mat-datepicker>
</mat-form-field>

@Component()
export class PersianDatepickerComponent {

  jsonDate = "2018-01-08T20:21:29.4674496";
  dateControl = this.jsonDate;
}

<mat-form-field>
    <input matInput [matDatepicker]="picker2" placeholder="startAt 2017-01-01 and startView=year">
    <mat-datepicker-toggle matSuffix [for]="picker2"></mat-datepicker-toggle>
    <mat-datepicker #picker2 startView="year" [startAt]="startDate"></mat-datepicker>
</mat-form-field>

import * as moment from "jalali-moment";

@Component()
export class PersianDatepickerComponent  {

  startDate = moment("2017-01-01", "YYYY-MM-DD"); // = moment.from("2017-01-01", "en");
  
}

<mat-form-field>
    <input matInput [matDatepicker]="picker3" [min]="minDate" [max]="maxDate" placeholder="min: 2017-10-02 and max: 1396-07-29">
    <mat-datepicker-toggle matSuffix [for]="picker3"></mat-datepicker-toggle>
    <mat-datepicker #picker3></mat-datepicker>
</mat-form-field>

import * as moment from "jalali-moment";

@Component()
export class PersianDatepickerComponent  {

  minDate = moment.from("2017-10-02", "en"); // = moment('2017-10-02', 'YYYY-MM-DD');
  maxDate = moment.from("1396-07-29", "fa"); // = moment('1396-07-29', 'jYYYY-jMM-jDD');
}

<mat-form-field>
    <input matInput [matDatepicker]="picker4" [matDatepickerFilter]="myFilter" placeholder="Date validation - Datepicker Filter">
    <mat-datepicker-toggle matSuffix [for]="picker4"></mat-datepicker-toggle>
    <mat-datepicker #picker4></mat-datepicker>
</mat-form-field>

import * as moment from "jalali-moment";

@Component()
export class PersianDatepickerComponent {

  myFilter = (d: moment.Moment): boolean => {
    const day: number = d.day();
    // Prevent Thursday and Friday from being selected.
    return day !== 5 && day !== 4;
  }
}

<mat-form-field>
    <input matInput [matDatepicker]="picker5" (dateInput)="onInput($event)" (dateChange)="onChange($event)"
        placeholder="dateInput and dateChange events">
    <mat-datepicker-toggle matSuffix [for]="picker5"></mat-datepicker-toggle>
    <mat-datepicker #picker5></mat-datepicker>
</mat-form-field>

import { MatDatepickerInputEvent } from "@angular/material";
import * as moment from "jalali-moment";

@Component()
export class PersianDatepickerComponent {

  onInput(event: MatDatepickerInputEvent<moment.Moment>) {
    console.log("OnInput: ", event.value);
  }

  onChange(event: MatDatepickerInputEvent<moment.Moment>) {
    const x = moment(event.value).format("jYYYY/jMM/jDD");
    console.log("OnChange: ", x);
  }
}